Departement Mathematik

Number theory seminar

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Frühjahrssemester 2020

Datum / Zeit Referent:in Titel Ort
21. Februar 2020
14:15-15:15 		Maxim Gerspach
ETH Zurich, Switzerland
Details

Number Theory Seminar

Titel Pseudomoments of the Riemann zeta function
Referent:in, Affiliation Maxim Gerspach, ETH Zurich, Switzerland
Datum, Zeit 21. Februar 2020, 14:15-15:15
Ort HG G 43
Abstract The pseudomoments of the Riemann zeta function are the moments of the partial sums associated with zeta on the critical line. Using probabilistic methods of Harper, we provide bounds which give the order of magnitude of all pseudomoments. We also provide upper and lower bounds for the pseudomoments of the powers of zeta that are almost-matching when combined with previous bounds of Bondarenko, Heap and Seip, and behave in a somewhat different manner than perhaps expected at first. In this talk, I will try to explain heuristically why the results are in fact reasonable to expect and give some insight into the proof strategy.
Pseudomoments of the Riemann zeta functionread_more
HG G 43
6. März 2020
14:15-15:15 		Dr. Sarah Peluse
Oxford University
Details

Number Theory Seminar

Titel An asymptotic version of the prime power conjecture for perfect difference sets
Referent:in, Affiliation Dr. Sarah Peluse, Oxford University
Datum, Zeit 6. März 2020, 14:15-15:15
Ort HG G 43
Abstract A subset D of a finite cyclic group Z/mZ is called a "perfect difference set" if every nonzero element of Z/mZ can be written uniquely as the difference of two elements of D. If such a set exists, then a simple counting argument shows that m=n^2+n+1 for some nonnegative integer n. Singer constructed examples of perfect difference sets in Z/(n^2+n+1)Z whenever n is a prime power, and it is an old conjecture that these are the only such n for which a perfect difference set exists. In this talk, I will discuss a proof of an asymptotic version of this conjecture: the number of n less than N for which Z/(n^2+n+1)Z contains a perfect difference set is ~N/log(N).
An asymptotic version of the prime power conjecture for perfect difference setsread_more
HG G 43
20. März 2020
14:15-15:15 		Prof. Dr. Jörg Brüdern
Universität Göttingen
Details

Number Theory Seminar

Titel The circle method and limit periodic functions
Referent:in, Affiliation Prof. Dr. Jörg Brüdern, Universität Göttingen
Datum, Zeit 20. März 2020, 14:15-15:15
Ort HG G 43
The circle method and limit periodic functions (ABGESAGT)
HG G 43
3. April 2020
14:15-15:15 		Prof. Dr. Ana Caraiani
Imperial College
Details

Number Theory Seminar

Titel Title T.B.A.
Referent:in, Affiliation Prof. Dr. Ana Caraiani, Imperial College
Datum, Zeit 3. April 2020, 14:15-15:15
Ort HG G 43
Title T.B.A. (ABGESAGT)
HG G 43
* 17. April 2020
Details

Number Theory Seminar

Titel No Seminar (Easter Vacation)
Referent:in, Affiliation
Datum, Zeit 17. April 2020,
Ort HG G 43
No Seminar (Easter Vacation)
HG G 43
* 1. Mai 2020
Details

Number Theory Seminar

Titel No Seminar (May 1st)
Referent:in, Affiliation
Datum, Zeit 1. Mai 2020,
Ort HG G 43
No Seminar (May 1st)
HG G 43

Hinweise: mit einem Stern gekennzeichnete Ereignisse (*) zeigen an, dass die Zeit und/oder der Ort von der üblichen Zeit und/oder dem üblichen Ort abweichen.

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